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Evaluate x2+x22x2+x3 when x = -1...

Evaluate x2+x22x2+x3 when x = -1

A.

-2

B.

-1

C.

12

D.

1

Correct answer is D

x2+x22x2+x3

= x2+2xx22x2+3x2x3

= x(x+2)1(x+2)x(2x+3)1(2x+3)

= (x1)(x+2)(x1)(2x+3)

= x+22x+3

At x = -1, 

= 1+22(1)+3

= 11

= 1